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13060960 = 2551141181
BaseRepresentation
bin110001110100…
…101101100000
3220120120021021
4301310231200
511320422320
61143535224
7216005413
oct61645540
926516237
1013060960
117410990
12445a514
132923ba3
141a3db7a
15122edaa
hexc74b60

13060960 has 96 divisors (see below), whose sum is σ = 34673184. Its totient is φ = 4608000.

The previous prime is 13060937. The next prime is 13060973. The reversal of 13060960 is 6906031.

It is a super-2 number, since 2×130609602 = 341177352243200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72070 + ... + 72250.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 213060960 is an apocalyptic number.

13060960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

13060960 is an abundant number, since it is smaller than the sum of its proper divisors (21612224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13060960 is a wasteful number, since it uses less digits than its factorization.

13060960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 13060960 is about 3613.9950193657. The cubic root of 13060960 is about 235.5004274826.

Adding to 13060960 its reverse (6906031), we get a palindrome (19966991).

The spelling of 13060960 in words is "thirteen million, sixty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 160 164 176 181 205 220 328 352 362 410 440 451 656 724 820 880 902 905 1312 1448 1640 1760 1804 1810 1991 2255 2896 3280 3608 3620 3982 4510 5792 6560 7216 7240 7421 7964 9020 9955 14432 14480 14842 15928 18040 19910 28960 29684 31856 36080 37105 39820 59368 63712 72160 74210 79640 81631 118736 148420 159280 163262 237472 296840 318560 326524 408155 593680 653048 816310 1187360 1306096 1632620 2612192 3265240 6530480 13060960